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We have three javelin throwers A,B and C.

It is known that A defeats B with probability 60%, B defeats C with probability again 60% and A has the better of C with 70%.

What are the a-priori probabilities of A, B, C winning the 3-way contest ?

If in general we haveNparticipants andPijfor the head to head probabilities, what is the formula for the win probability of each (Qi = some f(Pij)) ?

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# A multi-variable problem

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